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Finding the Fourth Proportional to 13,756.47, 20,634.31 and 3,895.73

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Solution

The fourth proportional to 13,756.47, 20,634.31 and 3,895.73 is: 5,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.47 : 20,634.31 = 3,895.73 : x
  2. Step 2: Convert to fraction form
    13,756.47/20,634.31 = 3,895.73/x
  3. Step 3: Cross multiply
    13,756.47x = 20,634.31 × 3,895.73
  4. Step 4: Simplify right side
    13,756.47x = 80,385,700.50
  5. Step 5: Solve for x
    x = 80,385,700.50/13,756.47
  6. Step 6: Final answer
    x = 5,843.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.